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C1: Chapter 5 Coordinate Geometry Dr J Frost Last modified: 30 th September 2013.

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Presentation on theme: "C1: Chapter 5 Coordinate Geometry Dr J Frost Last modified: 30 th September 2013."— Presentation transcript:

1 C1: Chapter 5 Coordinate Geometry Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 30 th September 2013

2 x-5-4-3-2-10123456 y 4 3 2 1 -2 -3 -4 A B C D E F G H

3 x-5-4-3-2-10123456 y 4 3 2 1 -2 -3 -4

4 Revision ?? ?? ? ? ? ? 1 2 3 4 5 6

5 Equation of a line given a point and gradient x y This is one and only formula you need this chapter, and you MUST remember it. Where do you think this comes from? 

6 Gradient using two points Point 1 Gradient (0,0)(2,6)3 (1,3)(3,7)2 (0,5)(4,25)5 (2,2)(-1,5) Q1 Q2 Q3 Q4 (4,3)(10,6)0.5Q5 (7,8)(-4,-3)1Q6 (7,1)(-1,5)-0.5Q7 (6,5)(8,1)-2Q8 ? ? ? ? ? ? ? ? ?

7 Quickfire Examples Point 1GradientUnsimplified Equation (3,4)2 (-5,0) (1,-3)4 (4,7)3 Q1 Q2 Q3 Q4 (-3,-2)5Q5 ? ? ? ? ?

8 Examples ? ? ? Q1 Q2 Q3

9 Perpendicular Lines GradientGradient of Perpendicular Line 2-1/2 -31/3 1/4-4 5-1/5 -2/77/2 7/5-5/7 ? ? ? ? ? ? ?

10 Example Problems ? ? ? Q1 Q2 Q3

11 Checking your understanding Edexcel May 2013 (Retracted) ? ?

12 Checking your understanding Edexcel Jan 2013 ? ? ?

13 Exercises C1 Page 78 (Old Textbook) Mixed Exercise 5F Q1 onwards.


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